2532085920 has 960 divisors, whose sum is σ = 11679655680. Its totient is φ = 501645312.

The previous prime is 2532085873. The next prime is 2532085973. The reversal of 2532085920 is 295802352.

It is a super-2 number, since 2×2532085920² = 12822918212524492800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22407784 + ... + 22407896.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^2532085920 is an apocalyptic number.

2532085920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2532085920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839827840).

2532085920 is an abundant number, since it is smaller than the sum of its proper divisors (9147569760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2532085920 is a wasteful number, since it uses less digits than its factorization.

2532085920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 2532085920 is about 50319.8362477463. The cubic root of 2532085920 is about 1362.9904495889.

The spelling of 2532085920 in words is "two billion, five hundred thirty-two million, eighty-five thousand, nine hundred twenty".